The oracle problem is addressed for random testing and testing of randomized software. The presented Statistical Oracle is a Heuristic Oracle using statistical methods, especially statistical tests. The Statistical Oracle is applicable in case there are explicit formulae for the mean, the distribution, and so on, of characteristics computable from the test result. However, the present paper onl...

We study Quantum Gravity effects on the density of states in statistical mechanics and its implications for critical temperature a Bose Einstein Condensate fraction bosons ground state. also compact extra dimensions fraction. consider both neutral charged show that may just be measurable current future experiments.

In the existing Statistics and Econometrics literature, there does not exist a statistical test which may for all kinds of roots characteristic polynomial leading to an unstable dynamic response, i.e., positive negative real unit roots, complex lying inside circle. This paper develops is sufficient prove stability (in context polynomial) univariate as well multivariate time series without havin...